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Finding the Fourth Proportional to 225,658.75, 338,072.93 and 141,403.21

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Solution

The fourth proportional to 225,658.75, 338,072.93 and 141,403.21 is: 211,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,658.75 : 338,072.93 = 141,403.21 : x
  2. Step 2: Convert to fraction form
    225,658.75/338,072.93 = 141,403.21/x
  3. Step 3: Cross multiply
    225,658.75x = 338,072.93 × 141,403.21
  4. Step 4: Simplify right side
    225,658.75x = 47,804,596,494.17
  5. Step 5: Solve for x
    x = 47,804,596,494.17/225,658.75
  6. Step 6: Final answer
    x = 211,844.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.